For a fixed mass of an ideal gas, which of the following statements are correct?

AAt constant $T$ , the plot of $P$ versus $1/ V$ is a straight line through the origin
BAt constant $P$ , the plot of $V$ versus $T$ (in kelvin) is a straight line through the origin
CAt constant $V$ , the plot of $P$ versus $T$ (in $^{\circ} C$ ) passes through the origin
DAt constant $T$ , the plot of $P V$ versus $P$ is a horizontal straight line

Answer: A, B, D

Boyle's law:

P = k / V

, so

P

versus

1/ V

is linear through the origin (A) and

P V

is constant (D). Charles's law:

V = k T

with

T

in kelvin, linear through origin (B). Gay-Lussac's law

P = k T

is linear in kelvin; in

^{\circ} C

the line intersects the temperature axis at

- 27 3^{\circ} C

, not at the origin, so (C) is wrong.